The distribution of weights of Idaho baking potatoes is Normal with mean 0.78 po

Question

The distribution of weights of Idaho baking potatoes is Normal with mean 0.78 pounds and
standard deviation of 0.09 pounds.

A restaurant chain uses potatoes over 0.90 pounds in its Cheesy Potato appetizer special.

2. The chain needs 1000 potatoes per week for this special. To obtain this quantity, how many
potatoes (of all weights) should be ordered per week?

3. The chain also must discard potatoes that are too small. They’ve learned that 0.5% (12 of 1%)
of all potatoes are discarded. What are the weights of the discarded potatoes? Answer in a
complete sentence that describes the weight condition for discarding a potato. (Express any
weight to at least the nearest 0.001 pound.)

4. For the order size you obtained in 2: How many of the potatoes are discarded?

5. Potatoes not discarded, and not used for a Cheesy Potato, become french fries. How many
potatoes become french fries each week?

Explanation / Answer

Answer:

Based on the given information, the distribution of weights of Idanho baking potatoes is Normal

2) The chain needs 1000 potatoes per week for this special. To obtain this quantity, how many potatoes (of all weights) should be ordered per week?

3. The chain also must discard potatoes that are too small. They’ve learned that 0.5% (12 of 1%)
of all potatoes are discarded. What are the weights of the discarded potatoes? Answer in a
complete sentence that describes the weight condition for discarding a potato. (Express any
weight to at least the nearest 0.001 pound.)

4. For the order size you obtained in 2: How many of the potatoes are discarded?

5. Potatoes not discarded, and not used for a Cheesy Potato, become french fries. How many
potatoes become french fries each week?

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